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Question

The populations P (in millions) of the United States from 1980 to 2006 can be approximated by the exponential function P(t) = 226(1.0110)^t, where t is the time in years, with t = 0 corresponding to 1980.† Use the model to estimate the populations in the years 2015 and 2025. (Round your answers to the nearest thousand.)

Answer 1

For 2015, set

t = 2015 - 1980,

plug it into the equation for P(t), and evaluate. Similarly, for 2025, set

t = 2025 - 1980,

plug it into the equation for P(t), and evaluate.